Q: What are the factor combinations of the number 7,004,803?

 A:
Positive:   1 x 700480313 x 53883137 x 189319481 x 14563
Negative: -1 x -7004803-13 x -538831-37 x -189319-481 x -14563


How do I find the factor combinations of the number 7,004,803?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 7,004,803, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 7,004,803
-1 -7,004,803

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 7,004,803.

Example:
1 x 7,004,803 = 7,004,803
and
-1 x -7,004,803 = 7,004,803
Notice both answers equal 7,004,803

With that explanation out of the way, let's continue. Next, we take the number 7,004,803 and divide it by 2:

7,004,803 ÷ 2 = 3,502,401.5

If the quotient is a whole number, then 2 and 3,502,401.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 7,004,803
-1 -7,004,803

Now, we try dividing 7,004,803 by 3:

7,004,803 ÷ 3 = 2,334,934.3333

If the quotient is a whole number, then 3 and 2,334,934.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 7,004,803
-1 -7,004,803

Let's try dividing by 4:

7,004,803 ÷ 4 = 1,751,200.75

If the quotient is a whole number, then 4 and 1,751,200.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 7,004,803
-1 7,004,803
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1133748114,563189,319538,8317,004,803
-1-13-37-481-14,563-189,319-538,831-7,004,803

More Examples

Here are some more numbers to try:

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